Question

In: Statistics and Probability

A) Running a regression on 11 pairs of data, you find the correlation coefficient to be...

A) Running a regression on 11 pairs of data, you find the correlation coefficient to be 0.321. At the .05 significance level, does this show significant correlation?

  • Yes, significant correlation
  • No

B) At a .01 significance level with a sample size of 50, find the critical value for the correlation coefficient

Solutions

Expert Solution

A) Here in this Question we need to test weather there is significant correlation coefficient. At 0.05 level of significance.

The t test will be used for significance of correlation.

Further the test is performed at 0.05 % level of significance as below,

The p value of t test is calculated using Excel.

Using both methods correlation critical value amd t test we fail to Reject null hypothesis. At 5% level of significance our result is not significant.

No.

There is not significant correlation between x and y.

B) the Correlation critical value is calculated as below,

The Correlation critical value is calculated using Correlation critical value table at 48 degrees of freedom.

Thank you.


Related Solutions

You are running correlation analysis on a data set with 11 items. You calculate the correlation...
You are running correlation analysis on a data set with 11 items. You calculate the correlation coefficient to be 0.845. What is the critical value?
Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for...
Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for the given data. Round the constants, a, b, and r, to the nearest hundredth. {(0, 10.8), (3, 11.3), (5, 11.2), (−4, 10.7), (1, 9.3)}
Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit...
Determine and interpret the linear correlation coefficient, and use linear regression to find a best fit line for a scatter plot of the data and make predictions. Scenario According to the U.S. Geological Survey (USGS), the probability of a magnitude 6.7 or greater earthquake in the Greater Bay Area is 63%, about 2 out of 3, in the next 30 years. In April 2008, scientists and engineers released a new earthquake forecast for the State of California called the Uniform...
Using the data below find the linear correlation coefficient. x              y               xy    
Using the data below find the linear correlation coefficient. x              y               xy               x2               y2 3              4               12              9                 16 4             6                24              16               36 5             7               35              25               49 7            12              84              49               144 8            14              112             64               196 ___________________________________________ 27           43              267           163              441 Also, utilizing the above data, find the slope and intercept.
Do all hypothesis testing steps and find the correlation coefficient for the following data to determine...
Do all hypothesis testing steps and find the correlation coefficient for the following data to determine if there is a significant correlation between the results of IQ test and Test A scores. (A higher score on either tests = a “better” score”) A.Also make a scatterplot (by hand) for this data. (IQ is X and Test Score is Y, also begin at 90 for X and 30 for Y) B.Calculate the regression equation for predicting scores on the Y’(Reading test)...
Pearson Product-Moment Correlation Coefficient Using the states Module 11 data test whether there is a relationship...
Pearson Product-Moment Correlation Coefficient Using the states Module 11 data test whether there is a relationship between the variable “sex” and the “Disp” score, alpha = .05.  Write the hypotheses. Show a scatterplot of the correlations between the two variables. Describe the direction and strength of the correlation. Report the results in APA format. Submit a copy of your SPSS output. The States Module 11 Data Test sex disp 2 4 1 1 2 1 2 1 1 4 2 1...
You are developing a simple linear regression analysis model. The simple correlation coefficient between y and...
You are developing a simple linear regression analysis model. The simple correlation coefficient between y and x is -0.72. What do you know must be true about b1. The least squares estimator of B1? Why? In a multiple linear regression analysis with k = 3. From the t test associated with B1, you conclude that B1 = 0. When you do the f test will you reject or fail to reject the null hypothesis? Why? In a simple bilinear regression...
A random sample of 29 pairs of observation from a normal population gives correlation coefficient of...
A random sample of 29 pairs of observation from a normal population gives correlation coefficient of 0.64. Is it likely that variables in the population are uncorrelated at 5% L.O.S?
1. Determine the Pearson product-moment correlation coefficient for the following data. x 1 11 9 7...
1. Determine the Pearson product-moment correlation coefficient for the following data. x 1 11 9 7 4 3 2 y 10 4 4 5 7 7 8 Correlation coefficient, r = enter the Correlation coefficient rounded to 3 decimal places 2. People in the aerospace industry believe the cost of a space project is a function of the mass of the major object being sent into space. Use the following data to develop a regression model to predict the cost...
12.1 Determine the Pearson product-moment correlation coefficient for the following data. x 1 11 9 7...
12.1 Determine the Pearson product-moment correlation coefficient for the following data. x 1 11 9 7 5 3 2 y 9 4 6 5 7 7 8 (Do not round the intermediate values. Round your answer to 3 decimal places.) Correlation coefficient, r = enter the Correlation coefficient rounded to 3 decimal places
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT